Conjugacy Classes of Elliptic Elements in the Picard Group

Nihal YILMAZ; Ü. Naci CANGÜL

Makale detayları

Conjugacy Classes of Elliptic Elements in the Picard Group

Yazarlar:

Nihal YILMAZ | Ü. Naci CANGÜL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2000 Vol.24 Issue 2, pp.209-220

Belge Tipi:

Makale

Yayın Tarihi:

1/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749224

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and 3 in \mathbf{P}, which is given as seven by B. Fine \left[ 3\right] , can actually be reduced to four and using this, the conditions for the maximal Fuchsian subgroups of \mathbf{P} to have elliptic elements of orders 2 and 3 are found.

 

The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and 3 in \mathbf{P}, which is given as seven by B. Fine \left[ 3\right] , can actually be reduced to four and using this, the conditions for the maximal Fuchsian subgroups of \mathbf{P} to have elliptic elements of orders 2 and 3 are found.

Makale detayları

Conjugacy Classes of Elliptic Elements in the Picard Group

Yazarlar:

Nihal YILMAZ | Ü. Naci CANGÜL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2000 Vol.24 Issue 2, pp.209-220

Belge Tipi:

Makale

Yayın Tarihi:

1/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749224

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

24

(2000)

209-220. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.24

iss.2.

Sayı

Makale detayları

Conjugacy Classes of Elliptic Elements in the Picard Group

Yazarlar: Nihal YILMAZ | Ü. Naci CANGÜL

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2000 Vol.24 Issue 2, pp.209-220

Belge Tipi: Makale

Yayın Tarihi: 1/2000

Belge Dili: Türkçe

Document ID (Org No.): 2000749224

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

24

(2000)

209-220. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.24

iss.2.

Sayı

Yazarlar:

Nihal YILMAZ | Ü. Naci CANGÜL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2000 Vol.24 Issue 2, pp.209-220

Belge Tipi:

Makale

Yayın Tarihi:

1/2000

Belge Dili:

Türkçe

Document ID (Org No.):

2000749224

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098